Question

Derive p =√2m k. e ​

Answer 1

Hello mate!!

YOUR ANSWER WITH STEP BY STEP EXPLANATION IS MENTIONED BELOW: )

Explanation:

Kinetic Energy (K.E.) is given by

$\frac{1}{2} pv$

where, p is linear momentum and v is linear velocity.

Substituting the value of p=

$\sqrt{2} m$

We get:

$\frac{1}{2} \times \sqrt{2} m \times v$

___________________________(i)

But kinetic energy can also given by,

$\frac{ 1 }{2} \times m \times {v}^{2}$

____________________________(ii)

Comparing equation (i) and (ii), we get:

$v = \sqrt{2}$

Now substituting the value of v at equation (i), we get:

$\frac{1}{2} \times \sqrt{2} m \times \sqrt{2}$

$= \frac{2}{2} \times m$

$= m$

So, kinetic energy of the substance will be equal to m i.e. mass of the body.

Hope it helps,

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